A professor decides to give a ten question multiple choice quiz. Each question has 4 answer options.

A professor decides to give a ten question multiple choice quiz. Each question has 4 answer options. She wants to choose the passing grade so that the probability of passing a student who randomly guessed on every question is less than 0.10. If each question is worth 5 points, which of the following gives the lowest score that she can use as a passing grade for the quiz.